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Finding the Fourth Proportional to 866.55, 1,298.90 and 797.33

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Solution

The fourth proportional to 866.55, 1,298.90 and 797.33 is: 1,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.55 : 1,298.90 = 797.33 : x
  2. Step 2: Convert to fraction form
    866.55/1,298.90 = 797.33/x
  3. Step 3: Cross multiply
    866.55x = 1,298.90 × 797.33
  4. Step 4: Simplify right side
    866.55x = 1,035,651.20
  5. Step 5: Solve for x
    x = 1,035,651.20/866.55
  6. Step 6: Final answer
    x = 1,195.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.